Had he done something incorrectly? That was the only explanation he could think of when he was told that he should no longer hold the doors open for her, or to refer to her by only her name. To he, who was used to these kinds of things by now, it was nothing if not odd. Layna Branton was perhaps the one he was least familiar with in the entire household. It was because everybody else managed to talk to him, while Layna never did. So he was only sure of what information he was given on her upon receiving this mission. That did not account for her personality, because that was something you could only truly learn when dealing with a person, after all.
He wasn't sure what he did wrong, but he was convinced that it was something. He would look at what he was doing and try to correct it once he pinned down what the problem was. "If that is your wish, Mas--I mean, Layna." it felt odd to simply say her name by its lonesome. People above his status always had something before their actual name to indicate their worth, but how he was referring to her was exactly how he referred to his friends or those underneath him. He did not like this, why was she doing this? It was... awkward.
Corvo opened and closed his mouth a few times as the car ride went on, but was unable to bring himself to speak anything of note. She certainly did not seem approachable just yet. So, as one might expect, the ride there ended up being silent except for the exchange early on. He was used to these situations, but only when he was with people who were busy with transactions or the like. Complete silence... was odd.
The car pulled up to her school.
"I will be in the immediate area, simply call me if there is any complications. I will eliminate them as quickly as possible, Layna." he said this in a serious tone, particularly putting emphasis on the 'eliminate' part, as though he was some determined exterminator. But perhaps that was what he was. It was unlikely someone would attempt a hit while she was in the school itself, but the moment she left? It was probably fair game. That said, it was no as though he could simply go back and busy himself with his other duties. No, he was the one to respond to any disturbances that involved her, so he would need to be right next to the school, ready to jump in at a moment's notice.
He would probably end up waiting just far enough away so people did not mistake him as some sort of stalker or the like, and until she left that school, he wouldn't leave the area either.